Question

Write the following numerals in expanded form.
                    8629

Answer 1

Hint:
Here in the solution, we will first insert the commas in the number. Then, we will assign all the numbers their respective place values. Lastly, integrate all the place values obtained together to get the required expanded form.

Complete step by step answer:
In the given question, we are required to find the expanded form of the numerals given to us. To do that, we will have to assign them their place values. For that, we will begin by inserting commas in the given numerals to group them into the different sets of place values. Since we are not provided with any system, let us follow the Indian system of numeration.
The numerals given to us are 8629.
In the Indian system of numeration, the commas are placed after the third numeral, fifth numeral, seventh numeral, ninth numeral, and so on, starting from the right end.
Hence, the number so formed will be 8,629.
Now, let us assign these numbers their place values. The place values are given as Ones – Tens – Hundreds, Thousands – Ten Thousands, and so on. We will start from the right and proceed towards the left. The place values of the numerals are as given below –
\[\begin{array}{*{20}{l}}8&6&2&9\\ \uparrow & \uparrow & \uparrow & \uparrow \end{array}\]
Thousands Hundreds Tens Ones
We will now multiply the numerals with their respective place values, to obtain their respective expanded forms.
8 – \[8 \times 1,000 = 8,000\]
6 – \[6 \times 100 = 600\]
2 – \[2 \times 10 = 20\]
9 – \[9 \times 1 = 9\]
To obtain the final expanded form, we will integrate together all the expanded forms of the numerals obtained.
Thus, the expanded form of 8629 is \[8 \times 1,000 + 6 \times 100 + 2 \times 10 + 9 \times 1\].
This can also be written as \[8,000 + 600 + 20 + 9\].

Note:
We can also expand the number by moving from right to left and assign the place values to the respective numbers like 1, 10, 100, 1000… and so on. That is, we keep on increasing a zero from the previous entity. Then we can then multiply the numerals with their respective place values, and then add all the terms to get the expanded form.